Classifying Quadratic Forms Over Z2 in Four Variables
Amrita Acharyya, Gerard Thompson
Journal of Advances in Mathematics and Computer Science · pp. 1–16 · Published 27 Jul 2018
10.9734/JAMCS/2018/42882Abstract
Quadratic forms in four variables over the field 2 are sorted first of all with respect to permutation symmetry. Thereafter it is shown that any such form is equivalent to one of seven such canonical forms. The orthogonal group of each one of these seven forms is obtained. The paper closes with some remarks about quadratic forms in three variables.
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